Question
solve for \(x\)
\(\frac{6}{5}x=-3\)
\(\frac{6}{5}x=-3\)
Answers
GPT-4o mini
To solve the equation
\[
\frac{6}{5}x = -3,
\]
we need to isolate \(x\). We can do this by multiplying both sides of the equation by the reciprocal of \(\frac{6}{5}\), which is \(\frac{5}{6}\). Thus, we multiply both sides by \(\frac{5}{6}\):
\[
x = -3 \cdot \frac{5}{6}.
\]
Calculating the right-hand side:
\[
x = -\frac{15}{6}.
\]
Now, we can simplify \(-\frac{15}{6}\):
\[
x = -\frac{5}{2}.
\]
Therefore, the solution for \(x\) is
\[
\boxed{-\frac{5}{2}}.
\]
\[
\frac{6}{5}x = -3,
\]
we need to isolate \(x\). We can do this by multiplying both sides of the equation by the reciprocal of \(\frac{6}{5}\), which is \(\frac{5}{6}\). Thus, we multiply both sides by \(\frac{5}{6}\):
\[
x = -3 \cdot \frac{5}{6}.
\]
Calculating the right-hand side:
\[
x = -\frac{15}{6}.
\]
Now, we can simplify \(-\frac{15}{6}\):
\[
x = -\frac{5}{2}.
\]
Therefore, the solution for \(x\) is
\[
\boxed{-\frac{5}{2}}.
\]
can I have a whole number answer